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September 21, 2014

September 21, 2014

Posted by **Sammy-Please,please help!!!!** on Tuesday, December 18, 2012 at 11:55am.

Give the following polynomial, find

a. the zeros and the multiplicity of each

b. where the graph crosses or touches the x-axis

c. number of turning points

d. the end behavior

f(x)=(x-1)(x-5)

please show work.

- calculus -
**bobpursley**, Tuesday, December 18, 2012 at 12:25pmu=x-1 dx=du

v=x-5 dx=dv

f=uv

f'=uv'+vu'=(x-1)+(x-5)=2x-6

zeroes: f(x)=0 at x=1,and x=5

f"=2 means it is always increasing, no inflection point.

end behaviour: at x=+- inf, f(x)=+ undef

- calculus -
**Steve**, Tuesday, December 18, 2012 at 1:48pmone small item:

f" > 0 means its always concave up, not increasing. Its slope is always increasing.

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